83205888 has 72 divisors (see below), whose sum is σ = 234512208. Its totient is φ = 26099712.

The previous prime is 83205869. The next prime is 83205917. The reversal of 83205888 is 88850238.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9870 + ... + 16242.

It is an arithmetic number, because the mean of its divisors is an integer number (3257114).

Almost surely, 2^83205888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83205888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117256104).

83205888 is an abundant number, since it is smaller than the sum of its proper divisors (151306320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83205888 is a wasteful number, since it uses less digits than its factorization.

83205888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6409 (or 6395 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 83205888 is about 9121.7261524341. The cubic root of 83205888 is about 436.5674512528.

The spelling of 83205888 in words is "eighty-three million, two hundred five thousand, eight hundred eighty-eight".